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Finding the Fourth Proportional to 911.92, 1,367.64 and 391.90

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Solution

The fourth proportional to 911.92, 1,367.64 and 391.90 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.92 : 1,367.64 = 391.90 : x
  2. Step 2: Convert to fraction form
    911.92/1,367.64 = 391.90/x
  3. Step 3: Cross multiply
    911.92x = 1,367.64 × 391.90
  4. Step 4: Simplify right side
    911.92x = 535,978.12
  5. Step 5: Solve for x
    x = 535,978.12/911.92
  6. Step 6: Final answer
    x = 587.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.